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Base field	Conductor norm	Rank*	Torsion order	CM discriminant

Base field degree/signature	Bad $p$	$\Q$-curves	Torsion structure	CM

Analytic order of Ш*	Cyclic isogeny degree	Isogeny class size	Reduction	Galois image

j-invariant	Regulator*	Curves per isogeny class	Isogeny class degree	Nonmax$\ \ell$

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Label	Class	Class size	Class degree	Base field	Field degree	Field signature	Conductor	Conductor norm	Discriminant norm	Root analytic conductor	Bad primes	Rank	Torsion	CM	CM	Sato-Tate	$\Q$-curve	Base change	Semistable	Potentially good	Nonmax $\ell$	mod-$\ell$ images	$Ш_{\textrm{an}}$	Tamagawa	Regulator	Period	Leading coeff	j-invariant	Weierstrass coefficients	Weierstrass equation
784.1-b3	784.1-b	$4$	$4$	$\Q(\sqrt{5}) $	$2$	$[2, 0]$	784.1	$ 2^{4} \cdot 7^{2} $	$ 2^{8} \cdot 7^{4} $	$1.05731$	$(2), (7)$	0	$\Z/2\Z\oplus\Z/2\Z$	$\textsf{no}$		$\mathrm{SU}(2)$	✓				$2$	2Cs	$1$	$ 2 $	$1$	$25.40552234$	1.420211874	$ \frac{28311552}{49} $	$ \bigl[0$ , $ 0$ , $ 0$ , $ -16 \phi - 16$ , $ 44 \phi + 33\bigr] $	${y}^2={x}^{3}+\left(-16\phi-16\right){x}+44\phi+33$

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*The rank, regulator and analytic order of Ш are not known for all curves in the database; curves for which these are unknown will not appear in searches specifying one of these quantities.

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This project is supported by grants from the US National Science Foundation, the UK Engineering and Physical Sciences Research Council, and the Simons Foundation.